Information on Result #691641
Linear OA(16110, 1048600, F16, 23) (dual of [1048600, 1048490, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1686, 1048576, F16, 19) (dual of [1048576, 1048490, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(16110, 1028852, F16, 2, 23) (dual of [(1028852, 2), 2057594, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (87, 110, 1028852)-net over F16 | [i] | ||
| 3 | Linear OOA(16110, 524300, F16, 2, 23) (dual of [(524300, 2), 1048490, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(16110, 95327, F16, 23, 23) (dual of [(95327, 23), 2192411, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |